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Finding the Fourth Proportional to 73,266.80, 109,813.80 and 31,146.80

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Solution

The fourth proportional to 73,266.80, 109,813.80 and 31,146.80 is: 46,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,266.80 : 109,813.80 = 31,146.80 : x
  2. Step 2: Convert to fraction form
    73,266.80/109,813.80 = 31,146.80/x
  3. Step 3: Cross multiply
    73,266.80x = 109,813.80 × 31,146.80
  4. Step 4: Simplify right side
    73,266.80x = 3,420,348,465.84
  5. Step 5: Solve for x
    x = 3,420,348,465.84/73,266.80
  6. Step 6: Final answer
    x = 46,683.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.